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<title>Problem 1684. -- [Usaco2005 Oct]Close Encounter -- 衡阳八中OJ离线版-2012-02-29</title><center><h2>1684: [Usaco2005 Oct]Close Encounter</h2><span class=green>Time Limit: </span>5 Sec&nbsp;&nbsp;<span class=green>Memory Limit: </span>64 MB<br><span class=green>Submit: </span>112&nbsp;&nbsp;<span class=green>Solved: </span>51<br>[<a href='submitpage.php?id=1684'>Submit</a>][<a href='problemstatus.php?id=1684'>Status</a>][<a href='bbs.php?id=1684'>Discuss</a>]</center><h2>Description</h2><div class=content>Lacking even a fifth grade education, the cows are having trouble
with a fraction problem from their textbook. Please help them.  The
problem is simple:

    Given a properly reduced fraction (i.e., the greatest common divisor of 
    the numerator and denominator is 1, so the fraction cannot be further 
    reduced) find the smallest properly reduced fraction with numerator and
    denominator in the range 1..32,767 that is closest (but not equal)
    to the given fraction.

找一个分数它最接近给出一个分数.
你要找的分数的值的范围在1..32767</div><h2>Input</h2><div class=content>* Line 1: Two positive space-separated integers N and D (1 <= N < D <=
        32,767), respectively the numerator and denominator of the
        given fraction

</div><h2>Output</h2><div class=content>* Line 1: Two space-separated integers, respectively the numerator and
        denominator of the smallest, closest fraction different from
        the input fraction.

</div><h2>Sample Input</h2>
			<div class=content><span class=sampledata>2/3<br />
</span></div><h2>Sample Output</h2>
			<div class=content><span class=sampledata>21845 32767<br />
<br />
OUTPUT DETAILS:<br />
<br />
21845/32767 = .666676839503.... ~ 0.666666.... = 2/3.</span></div><h2>HINT</h2>
			<div class=content><p></p></div><h2>Source</h2>
			<div class=content><p><a href='problemset.html?search=Silver'>Silver</a></p></div><center>[<a href='submitpage.php?id=1684'>Submit</a>][<a href='problemstatus.php?id=1684'>Status</a>][<a href='bbs.php?id=1684'>Discuss</a>]</center>﻿<br>

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